Mixed Number Word Problem Quiz/Game
This game focus on 1-step mixed number and fraction word problems. Word problems with fractions follow the same logic as whole numbers, but require extra care with common denominators and converting between forms. Scroll down the page for a more detailed explanation.
 

Fraction Action

Progress Score: 0

1-Step Mixed Word Problems

Solve fraction and mixed number problems. You will get 10 random questions.

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Next Problem ➜ ← Back to Start

 

How to Play the Math Masters Game

1. Look at the Problem: Read the problem carefully. Solve it and select one of the answers.
   
2. Check Your Work: If you selected the right answer, it will be highlighted in green. If you are wrong, it will be highlighted in red and the correct answer will be highlighted in green. A hint will be given to help you find the correct answer.
   
3. Get a New Problem: Click “Next Problem” for a new problem.
   Your score is tracked, showing how many you’ve gotten right.
   
4. Finish Game When you have completed 10 questions, your final score will be displayed.
    
   

Solving Fraction and Mixed Number Word Problems
Key Operations Decoder

1. Read and Annotate: Circle the numbers and underline the question. What is the goal?
   
2. Identify the “Hidden” Question: Mixed Number problems always have a value you need to find before you can solve the main question.
   
3. Plan the Operations: Look for keywords to decide which operation comes first.
   
4. Solve and Check: Perform the calculations and ask, “Does this answer make sense?”
    
   

Operation: Addition (+)
Action: Combining amounts
Keywords: “How much in total?”, “Altogether”, “Joined”

Operation: Subtraction (-)
Action: Comparing or taking away
Keywords: “How much further?”, “Leftover”, “Difference”

Operation: Multiplication (×)
Action: Finding a “fraction of”
Keywords: “\(\frac{1}{2}\) of a group”, “Area”, “Twice as much”

Operation: Division (÷)
Action: Splitting into equal parts
Keywords: “How many \(\frac{1}{4}\) servings?”, “Cut into pieces”.
 

The “Conversion Toolbox”
Before solving, check if you need to:

1. Find a Common Denominator: Required for + and -.
   
2. Convert to Improper Fractions: Usually the easiest way to × and ÷ mixed numbers.
   
3. Example: \(2\frac{1}{3} \rightarrow \frac{(2 \times 3) + 1}{3} = \frac{7}{3}\)
   
4. Simplify: Always reduce your final answer to its simplest form.
    
   Example Problems
   
5. Addition & Subtraction (The “Leftover” Problem)
   Problem: A recipe needs \(2\frac{3}{4}\) cups of flour. Mark has \(1\frac{1}{2}\) cups. He buys another 2 cups. How much flour will he have left over after baking?
   Step 1: Total flour owned.
   \(1\frac{1}{2} + 2 = 3\frac{1}{2}\) cups.
   Step 2: Subtract what is used.
   \(3\frac{1}{2} - 2\frac{3}{4}\)
   Common denominator (4): \(3\frac{2}{4} - 2\frac{3}{4}\)
   Regroup: \(2\frac{6}{4} - 2\frac{3}{4} = \frac{3}{4}\)
   Answer: He will have \(\frac{3}{4}\) cup left.
    
   
6. Multiplication (The “Fraction of a Fraction” Problem)
   Problem: A garden takes up \(\frac{3}{5}\) of a backyard. \(\frac{1}{3}\) of the garden is planted with tomatoes. What fraction of the entire backyard is tomatoes?
   Logic: This is asking for \(\frac{1}{3}\) of \(\frac{3}{5}\). In math, “of” means multiply.
   Calculation:
   \(\frac{1}{3} \times \frac{3}{5} = \frac{3}{15}\)
   Simplify:
   \(\frac{3 \div 3}{15 \div 3} = \frac{1}{5}\)
   Answer: Tomatoes take up \(\frac{1}{5}\) of the backyard.
    
   
7. Division (The “Serving Size” Problem)
   Problem: A chef has 6 pounds of pasta. Each serving is \(\frac{3}{4}\) of a pound. How many servings can the chef make?
   Logic: You are splitting a whole into equal fractional groups.
   Calculation (Keep-Change-Flip):
   \(6 \div \frac{3}{4} = \frac{6}{1} \times \frac{4}{3}\)
   \(\frac{24}{3} = 8\)
   Answer: The chef can make $8$ servings.
    
   
8. Multi-Step (The “Gas Tank” Problem)
   Problem: A gas tank holds $12 gallons. It is \(\frac{1}{4}\) full. If gas costs \(\$3\frac{1}{2}\) per gallon, how much will it cost to fill the tank?
   Step 1: How many gallons are missing?
   If \(\frac{1}{4}\) is full, \(\frac{3}{4}\) is empty.
   \(\frac{3}{4} \times 12 = 9\) gallons needed.
   Step 2: Calculate the cost.
   \(9 \times 3\frac{1}{2}\)
   \(9 \times \frac{7}{2} = \frac{63}{2} = 31\frac{1}{2}\)
   Answer: It will cost $31.50.
    
   

This video gives a clear, step-by-step approach to explain how to solve multi-step word problems.

• Show Video

 

Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

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